What is negative 1 times negative 62?




1 times 62 is 62, but what is the answer if both 1 and 62 are negative numbers? Here we will determine if the answer to negative 1 times negative 62 is positive 62 or negative 62.

There are many different ways to explain and determine if the answer to negative 1 times negative 62 is -62 or +62 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.

We will take a different approach - process of elimination: We will simply test if -62 is the correct answer using basic algebra.

We will test if -62 is correct by setting up the equation negative 1 times negative 62 equals negative 62, and then simplifying the equation to see if it is true.

(-1) (-62) = (-62)

Divide both sides of the equation by (-62) :

   
(-1) (-62)
 
   
(-62)
 =
   
(-62)
 
   
(-62)

The numerator and denominator on the left side both have (-62) which even each other out and can be removed:

  (-1) =
   
(-62)
 
   
(-62)

The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:

  (-1) =
   
(62)
 
   
(62)

A numerator of 62 and denominator of 62 on the right side is the same as 62 divided by 62 which is 1. Now we end up with this untrue equation:

(-1) = (1)

-1 is NOT equal to 1, thus we have proven that negative 1 times negative 62 is not equal to -62. The answer must therefore be 62:

-1 x -62 = 62


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 1 times negative 62 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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What is negative 1 times negative 63?
Here is the next problem on our list that we have explained and calculated.


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